17 citations · 109 across the 31 of their papers we have counts for
31 papers
Recursive construction of spectral basis and its application to matrices
A. Acus, A. Dargys
We prove a recursive formula for construction of generalized spectral basis. Example of application is presented for symbolic computation with non-diagonalizable matrix that descri…
Square roots of complexified quaternions
Adolfas Dargys, Arturas Acus
Square roots of complexified (complex) quaternions, namely, the Hamilton quaternion, coquaternion, nectorine, and conectorine are investigated. The isomorphisms between the complex…
Spectral square roots of the multivector
Adolfas Dargys, Arturas Acus
The problem of multivector (MV) multiple square roots in real geometric Clifford algebras Cl(p,q) with symbolic coefficients is considered. The method to find multiple MV square ro…
Clifford geometric algebra: Real and complex spinor data tables
A. Acus, A. Dargys
The modern algebra concepts are used to construct tables of algebraic spinors related to Clifford algebra multivectors with real and complex coefficients. The following data comput…
Multivector (MV) functions in Clifford algebras of arbitrary dimension: Defective MV case
A. Acus, A. Dargys
Explicit formulas to calculate MV functions in a basis-free representation are presented for an arbitrary Clifford geometric algebra Cl(p,q). The formulas are based on analysis of…
Logarithm of multivector in real 3D Clifford algebras
A. Acus, A. Dargys
Closed form expressions for a logarithm of general multivector (MV) in base-free form in real geometric algebras (GAs) Cl(p,q) are presented for all n=p+q=3. In contrast to logarit…